Mathematics Middle School

Bobby knows that the perimeter of the original rectangle is 120 meters. He also knows that the perimeter of the reduced rectangle is 30 meters and the reduced length is 9 meters.
Not drawn to scale What is the width of the original rectangle?

Answers

Answer 1
Ok so here we can start of by finding the ratio of the original to the reduced which is 4:1. Then we can find out the width of the reduced which is 6. Finally, all you have to do is multiply 6 by 4 and you get the answer which is 24.
Answer 2

Answer:

Width of the original rectangle is [tex]24 \\[/tex] meters

Step-by-step explanation:

Perimeter of reduced rectangle [tex]= 30\\[/tex] meters

Reduced length [tex]= 9 \\[/tex] meters

Reduced perimeter is equal to

[tex]2 ( Reduced width) + 2 (reduced length) \\2 (w) + 2 (l) = 30\\2 (w) + 2 (9) = 30\\w = 6\\[/tex]

The factor of reduction of perimeter of original rectangle

[tex]= \frac{30}{120} \\= \frac{1}{4} \\[/tex]

Width of reduced rectangle will be equal to [tex]\frac{1}{4} \\[/tex] the width of original rectangle

[tex]w = \frac{1}{4} * W\\6 = \frac{1}{4} * W\\\\W = 24 \\[/tex]

Related Questions

Write two inequalities to compare -9 and -6

Answers

-9 is less than -6

-6 is greater than -9
 Two inequalities could be: 

-9 < -6
-6 > -9

Read the problem in the box below. Make a list to help you find the correct answer

Answers

The answer would be 
A) WP, WB, WC, PB, PC, BC.

15 points!

Solve. 1/3r + 1 = −2/3r − 2 Drag and drop the answer into the box.

a. -3
b. -1/3
c. 2/3
d. 18

r = ???

Please help and thanks!

Answers

a. -3 
I know this because 1/3+2/3= 1 which would make the problem r+1=-2. -1+-2=-3

Answer: a -3

Step-by-step explanation:

Is this the correct answer? Am I missing anything? Do I need to delete anything?

Answers

It should be congruent angles, for "congruent angles" are angles that have the same measures

vertical angles measurements are also equal, however, you want to be as broad as possible

hope this helps

It should be congruent angles, for "congruent angles" are angles that have the same measures

vertical angles measurements are also equal, however, you want to be as broad as possible

hope this helps

4(g - 1 )=24
what is the answer

Answers

Hello There!

First Expand:
4g - 4 = 24
Then solve:
4g = 24 + 4
4g = 28
g = 28/4
g = 7.

Hope This Helps You!
Good Luck :) 
Hello Aneily!

[tex]4(g-1)=24 Distributive property (4)(g)+(4)(-1)=24 4g - 4 = 24 4g = 24 + 4 4g = 28 Divide both sides by 4 4g/4 = 28/4 g= 7 [/tex]


Have a beautiful day!

Figure ABCD is a parallelogram with point C (3, −2). Figure ABCD is rotated 90° counterclockwise to form figure A′B′C′D′. What coordinate would be the output for point C'?

Answers

Refer to the diagram below

Point C (3, -2) is rotated 90° turn anticlockwise and the image is (2, 3).
Notice the red line that is rotated 90° anticlockwise. The final position is given in green line. 

The floor of the commons room at King Middle School is in the shape of a square with side lengths of x^2 y^3 feet. New tile is going to be put on the floor of the room. Find the area of the floor.

Answers

The useful hint here is the shape of the area which is square. By definition, a square is a two-dimensional figure that consist of two parallel sides have the same equal measure. The only given dimension of a square is its side. The area is equal to the square of the side. Since the side has a measure of x²y³,

A = s² = (x²y³)²
By the laws of exponents, for this problem, just simply distribute the outer exponent to each of the inner exponent.
A = x⁴y⁶

Tim mixed 2 parts vinegar and 5 parts water to make a cleaning liquid. How many parts of vinegar did Tim mix with each part of water?
one over ten
one over five
two over seven
two over five

Answers

2 parts vinegar to 5 parts water so two over five

Answer:

2/5

Step-by-step explanation:

I got stuck on this one

Answers

The answer is the one on the bottom left, because since it's a less than sign, you use a dotted line for the graph, and also you shade the left of the line since x is less than two.

WHAT IS .115 IN EXPANDED FORM

Answers

0.115 = 0.1 + 0.01 + 0.005

hope it helps

One day, a king left his castle with a bag of silver coins to wander his kingdom. to the first peasant he met, he gave one-half of the coins plus two more. A little later, he met another peasant to whom he also gave one-half of his coins plus two more. Walking on, he met a third peasant and again gave half his coins plus two more. FInally, the king went home with two coins left in his bag. How many coins did he have to begin with? Create an algebraic equation. Please explain why.

Answers

are there any options on what type of problem u want?

Answer:

The king left his castle with 44 silver coins.

Step-by-step explanation:

A king left his castle with a bag of silver coins and he gave his coins to 3 peasants in an order. Finally he went home with two coins left.

To solve this question we calculate it in reverse order.

Finally the king has in his bag = 2 coins

Before it he met third peasant king had =

= (2+2) × 2

= 4×2 = 8

Before the king met third peasant, he had 8 coins.

Before he met Second peasant king had :

= (8+2) × 2

= 10 × 2 = 20

Before he met second peasant king had 20 coins.

Before he met first peasant he had :

= (20+ 2) × 2

= 22 × 2 = 44

Before King met first peasant he had 44 silver coins.

A laboratory culture contains 150 bacteria. After twenty minutes, the culture contains 300 bacteria. After one hour, the culture contains 1200 bacteria. Make a conjecture about the rate at which the bacteria increases

Answers

the answer is C..!! 
see.. at t=0 the culture had 150 bacteria.. 
at t=20 the culture had 300 bacteria. 
at t=60 the culture had 1200. 
so if u go by the second option... at t=40 the bacteria would be 600..!! and it makes sense because it fits the sequence...!! 
i am just telling you the logic..!! if u have to formally solve it.. use the concept of sequences and series... :)
Final answer:

The bacteria in your culture appear to be experiencing exponential growth, doubling in population size every 20 minutes. This is common in organisms that reproduce by binary fission like bacteria, but the growth rate can be influenced by various environmental factors.

Explanation:

Based on your data, the number of bacteria in your culture seems to double every 20 minutes. This type of growth pattern is known as exponential growth, which is common in prokaryotes and other organisms that reproduce by binary fission.

For example, if you were to start with 1000 bacteria in a nutrient-rich environment, after one hour (or three 20-minute intervals), each bacterial cell would've divided several times, increasing the total population size from 1000 to 8000. This is based on the principle that in exponential growth, the number of new organisms added to the population in each round of division (or generation) increases as the population size increases. This results in a 'J-shaped' growth curve when plotted over time, illustrating the increasing rate of population growth.

However, please note that in reality, bacterial growth is influenced by several factors including nutrient availability and environmental conditions and the growth rate may not remain constant over time. For a more accurate analysis, you could take readings at more frequent intervals and plot a graph of population size versus time to observe the growth pattern.

Learn more about Exponential Growth here:

https://brainly.com/question/12490064

#SPJ2

3 please it would really help (4 would give u brainliest)

Answers

So if we know the volume of a cube is given by V = x ^ 3, and V = 3 3/8, then 3 3/8 = x ^ 3

So here we now know we have to find the, err, triple square root or something of 3.

Since square root is just x ^ 1/2, then we know that it would be x ^ 1/3 to figure out this problem.

So just replace x with 3 3/8, to get 1.5.

So the answer you're looking for is 1.5.

How much will a person pay for 11.3 pounds of bananas at a price of ​$2.07 per​ pound?

Answers

All you have to do is multiply 11.3 and $2.07 and you get 23.391
$23.39. I got that by multiplying $2.07x 11.3.

(0,0), (1,5), (2,20), (3,45), (4,80) what's the rule?

Answers

hmm, seems to multiply by 5
wait, no

first is multiply by 5
2nd is multiply by 10
3rd is multiply by 15
4th is multiply by 20
seems to be

[tex]f(x)=x(5x)[/tex] or [tex]f(x)=5x^2[/tex]
the rule is square the input then multiply by 5

Solve W=(5/8+7/8)*2*2

Answers

w = 6 is the answer to your question

The state of South Carolina has 46 counties. Write 46 as a product of primes

Answers

Final answer:

The prime factorization of the number 46 is 2 times 23, with 2 and 23 being prime numbers.

Explanation:

To write the number 46 as a product of prime numbers, we need to perform prime factorization. Here is the step-by-step process:

First, find the smallest prime number that divides into 46, which is 2.Divide 46 by 2, which gives us 23.Since 23 is a prime number itself and cannot be divided further by any prime number other than 1 and itself, we stop here.

So, the prime factorization of 46 is 2 times 23. This can't be simplified any further as these are both prime numbers.

What was the biggest decrease in time from the 1st leg to the 2nd leg?? Relay scores

Answers

I'm sorry, but you're going to have to give out the chart given or what shows the relay scores so we can answer the question.

the local store is having a sale on ground beef- $10 for 3 pounds. sylvia needs 12 pounds of meat to make 50 hamburgers. how much will the ground beef for each hamburger cost?

Answers

10/3 = x / 12.....$ 10 to 3 lbs = $ x to 12 lbs
cross multiply
3x = 120
x = 120/3
x = 40....so it is gonna cost Sylvia $ 40 for the meat.

she plans on making 50 burgers......40 ($ worth of meat) / 50 (burgers)  = 
0.8....so for each burger, the meat will cost 0.80 or 80 cents <==

What is the change in temperature from -8°F to 14°F?

Answers

the change is 22
8+1=22
put off the negative sign.
22 degrees to get to 0 is 8 and then 14+ 8 is 22

he Discount Hair Center has a large container of combs. Each purchase qualifies a customer to receive a free comb. The container contains 4 blue combs, 2 purple combs, 8 black combs, 3 white combs, 6 yellow combs, and 5 pink combs.

What is the probability that the next customer will pull out a blue comb?

Answers

it would be a 4 in 28 probability (or 1 in 7 if you simplify)
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 
first you add up all the number of combs together which gives you 28 combs total

the there were 4 blue combs out of the 28

so the probability it 4 in 28       or 1 in 7

Alec is trying to find the surface area of a shoe box. What unit will he use?
A) cubic feet
B) square feet
C) cubic inches
D) square inches

Answers

D) Square inches.
"Square" is used when measuring area and inches are more suited for measurement due to the size of the box.

What is the missing term in the factorization?

12x^2-75=3(2x+?)(2x-5)

Can anybody help me asap please?
Thank you

Answers

3(2x+5)(2x-5), 5 is the missing term.

ANSWER

The missing term is

[tex]5[/tex]


EXPLANATION


The quadratic expression given to us is

[tex]12 {x}^{2} - 75[/tex]

We factor 3 to obtain,


[tex]12 {x}^{2} - 75 = 3(4 {x}^{2} - 25)[/tex]

We rewrite the expressions in the parenthesis to obtain,

[tex]12 {x}^{2} - 75 = 3( ({2x})^{2} - {5}^{2} )[/tex]



Recall that,


[tex] {a}^{2} - {b}^{2} = (a + b)(a - b)[/tex]



We apply the difference of two squares formula for the expression in the parenthesis to obtain,

[tex]12 {x}^{2} - 75 = 3(2x + 5)(2x - 5) )[/tex]



By comparing to,



[tex]12 {x}^{2} - 75 = 3(2x + ?)(2x - 5) )[/tex]



The missing term is 5.

Evaluate the following expression using the values given:

Find 4x − y − 2z if x = −2, y = 3, and z = −2

−15
15
−7
7

Answers

4x-y-2z
Evaluate, by substituting the values for the variables
4(-2)-(3)-2(-2)
Simplify by multiplying
-8-3+4
Add/subtract
-11+4
-7 is your answer

the answer is -7
4(-2)-(3)-2(-2)

Traveling at 65 miles/hour, how many minutes will it take to drive 125 miles to San Diego?

Please break this down into parts so i can easily understand this. I take gse algebra 1 in the 8th grade and i'm having trouble with dimensional analysis word problems so I really need help with this one. We also have to use a certain chart that looks like a big fraction we use to solve problems like this, the units cancel out, and we multiply the top and bottom and then divide the top product by the bottom product. Please help. I'll also be giving the brainliest answer.

Answers

1.92307692308 Hours To San Diego

Tristan bought an orange that weighs 1/5 pound. He cut the orange into 8 slices. How much does each orange slice weigh?

Answers

A pound is 16 ounces, so you would divide 16 by 5, finding that is 3.2 you would then divide 3.2 by 8 getting your answer 0.4 of an ounce
16÷5=3.2, 3.2÷8=0.4 ounce

Answer:

1/40 pound

Step-by-step explanation:

What is the greatest number of points of intersection that can occur when 2 different circles and 2 different straight lines are drawn on the same piece of paper.

Answers

8:

A line can intersect a circle twice. So, two lines intersect one circle 4 times. Two lines can intersect two circles 8 times.

Hope this helps!

Answer:

11

Step-by-step explanation:

Make a diagram. Two geometric figures intersect if they have one or more points in common. Draw two circles which intersect in  points. Draw a line which intersects the two circles in  points. Draw another line which intersects the two circles in  points and also intersects the first line. There are 11 points of intersection. 

232 round to nearest ten

Answers

the nearst rounding to the tens is 230

230 because 2 is less than 5 and so it has to go to 230.

I don't understand this one help me please

Answers

Well you need to find the value of x. So this is what you do. You have to isolate the variable in other words it needs to be on one side of the equation. You would need to add 11 to both sides and you would get 13x= 9x -2. Then you do the same with 9x and subtract it from boths sides and end up with 4x= -2. You divide -2 by 4 and get -1/2 as your answer. So x= -1/2. I hope this helps love! :)

Which are partial products for 51 × 36?


Choose all answers that are correct.


A.1 x 6 = 6

B.1 x = 30

C.50 x 6 = 300

D.50 x 3 = 150

Answers

partial products for 51 × 36
50 x 30 = 1500
50 x 6 = 300
1 x 30 = 30
1 x 6 = 6

answer
A.1 x 6 = 6
B.1 x 30 = 30
C.50 x 6 = 300

hope it helps
Other Questions
the king of Ghana controlled the trade of which two commodities Which plot description is the best example of a tragedy? A. An old man must give up his most prized possession his car to raise enough money to send his granddaughter to school. B. An arrogant businessman loses his money and his freedom when he is sent to jail after his auto company fails to do proper safety inspections. C. A teenage couple is split apart when the young boy's father is transferred to a new position and the boy's family must move away. D. An environmental activist struggles to save a historical landmark, only to see the building destroyed in a fire. solve for p 160=22+8(3p4) Can somebody please give me some statistics or facts about Hurricane Irma? I live in Florida and am currently out of the country so I cant see how bad it really is back home, just curious whats going on! Thank you! Complete the two-column proof.Given: x/6 + 2 =15Prove: x = 78X/6 + 2 =15 a. __________x/6= 13 b. __________ x = 78 c. ___________ find the measure of an angle whose supplement measures seventeen times its measure The number of people waiting in a line to buy tickets x minutes after a ticket booth opened is given by the expression 705x .What does the value 70 represent?A. the number of minutes it takes to sell all the ticketsB. the total number of tickets availableC. the number of people in the line when the ticket booth openedD. the number of people who bought tickets every minute Identifying Variables in a Hypothesis"If the pressure of a gas is increased, then the volume will decrease because the particles of the gas will be forced closer together."The independent variable is ________.The dependent variable is ________. Like most sciences, psychology has accepted as a standard for statistical significance the odds of 5 out of 100 that an observed result is what is 100 divided by 13 subtract 45 then add 19 The spanish were encouraged in their exploration of the area north of mexico because One drawback of a personal marketing survey is that A. respondents may misinterpret questions. B. the response time if rather long. C. answers may be influenced by the interviewer. D. it results in a low response rate. Mark for Please help I gave u 100 points For bacteria to continue growing rapidly when they shift from an aerobic environment to an anaerobic environment, they must What organelle is composed of a membrane with pores? The coordinates of the vertices of ABC are A(4, 6) , B(2, 2) , and C(6, 2) .The coordinates of the vertices of ABC are A(2, 6) , B(0, 2) , and C(4, 2) .Drag and drop the answers into the boxes to correctly complete the statement.A sequence of transformations that maps ABC to ABC is a blank followed by a blank.translation 2 units leftreflection across the x-axisreflection across the y-axistranslation 2 units down What is the elastic clause and how does it help the constitution remain relevant? what is the difference between conduction and convection? Given the sets U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {0, 1, 4, 7, 9}, and B = {0, 4, 5, 6, 7}, use De Morgan's Laws to find the indicated set. (Enter your answers as a comma-separated list. Enter EMPTY for the empty set.)(A' B)' In which sentence is the meaning of the word tempest suggested?A. People wear masks to hide feelings. B. Douglass guides people through a storm. C. The poet wants Douglass to be alive. D. The people sing but their hearts are sad. Steam Workshop Downloader